Symplectic fixed points and Lagrangian intersections on weighted projective spaces

Guangcun Lu; Haïm Brezis

Symplectic fixed points and Lagrangian intersections on weighted projective spaces

Guangcun Lu, Haïm Brezis

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this note we observe that Arnold conjecture for the Hamiltonian maps still holds on weighted projective spaces ℂPⁿ(q), and that Arnold conjecture for the Lagrange intersections for (ℂP ⁿ(q),ℝPⁿ(q)) is also true if each weight q _i ∈ = {q₁, ⋯ q_n+1} is odd.

Original language	English (US)
Pages (from-to)	301-316
Number of pages	16
Journal	Houston Journal of Mathematics
Volume	34
Issue number	1
State	Published - 2008

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "Symplectic fixed points and Lagrangian intersections on weighted projective spaces",

abstract = "In this note we observe that Arnold conjecture for the Hamiltonian maps still holds on weighted projective spaces ℂPn(q), and that Arnold conjecture for the Lagrange intersections for (ℂP n(q),ℝPn(q)) is also true if each weight q i ∈ = {q1, ⋯ qn+1} is odd.",

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AU - Lu, Guangcun

AU - Brezis, Haïm

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AB - In this note we observe that Arnold conjecture for the Hamiltonian maps still holds on weighted projective spaces ℂPn(q), and that Arnold conjecture for the Lagrange intersections for (ℂP n(q),ℝPn(q)) is also true if each weight q i ∈ = {q1, ⋯ qn+1} is odd.

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SP - 301

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JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

IS - 1

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Symplectic fixed points and Lagrangian intersections on weighted projective spaces

Abstract

All Science Journal Classification (ASJC) codes

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